Geodesic
On one ill-posed singularly perturbed problem
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1251-1254 
M. M. Khapaev. On one ill-posed singularly perturbed problem. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1251-1254. http://geodesic.mathdoc.fr/item/FPM_2002_8_4_a22/
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     url = {http://geodesic.mathdoc.fr/item/FPM_2002_8_4_a22/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The boundary value problem for a second order ordinary singularly perturbed equation is under consideration. The solution of the problem with interfaces on the boundary and within the segment is constructed.

[1] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1979 | MR

[2] Denisov A. M., Vvedenie v teoriyu obratnykh zadach, Izd-vo Mosk. un-ta, M., 1994

[3] Faif P., Grinli V., “Vnutrennie perekhodnye sloi dlya ellipticheskikh kraevykh zadach s malym parametrom”, UMN, 29:4 (1974), 103–131 | MR

[4] Vasileva A. B., Butuzov V. F., Nefedov N. N., “Kontrastnye struktury v singulyarno vozmuschennykh zadachakh”, Fundam. i prikl. mat., 4:3 (1998), 799–851 | MR

[5] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR